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Simplifying 10(x + 4) = 4(x + -25) Reorder the terms: 10(4 + x) = 4(x + -25) (4 * 10 + x * 10) = 4(x + -25) (40 + 10x) = 4(x + -25) Reorder the terms: 40 + 10x = 4(-25 + x) 40 + 10x = (-25 * 4 + x * 4) 40 + 10x = (-100 + 4x) Solving 40 + 10x = -100 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 40 + 10x + -4x = -100 + 4x + -4x Combine like terms: 10x + -4x = 6x 40 + 6x = -100 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 6x = -100 + 0 40 + 6x = -100 Add '-40' to each side of the equation. 40 + -40 + 6x = -100 + -40 Combine like terms: 40 + -40 = 0 0 + 6x = -100 + -40 6x = -100 + -40 Combine like terms: -100 + -40 = -140 6x = -140 Divide each side by '6'. x = -23.33333333 Simplifying x = -23.33333333
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